On the supersymmetrization of Galileon theories in four dimensions
Abstract
We use on-shell amplitude techniques to study the possible N = 1 supersymmetrizations of Galileon theories in 3 + 1 dimensions, both in the limit of decoupling from DBI and without. Our results are that (1) the quartic Galileon has a supersymmetrization compatible with Galileon shift symmetry (φ → φ + c + bμxμ) for the scalar sector and a constant shift symmetry (ψ → ψ + ξ ) for the fermion sector, and it is unique at least at 6th order in fields, but possibly not beyond; (2) the enhanced “special Galileon” symmetry is incompatible with supersymmetry; (3) there exists a quintic Galileon with a complex scalar preserving Galileon shift symmetry; (4) one cannot supersymmetrize the cubic and quintic Galileon while preserving the Galileon shift symmetry for the complex scalar; and (5) for the quartic and quintic Galileon, we present evidence for a supersymmetrization in which the real Galileon scalar is partnered with an R-axion to form a complex scalar which only has an ordinary shift symmetry.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Michigan, Ann Arbor, MI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1434564
- Alternate Identifier(s):
- OSTI ID: 1643692
- Grant/Contract Number:
- SC0007859; PHY17-48958
- Resource Type:
- Published Article
- Journal Name:
- Physics Letters. B
- Additional Journal Information:
- Journal Name: Physics Letters. B Journal Volume: 781 Journal Issue: C; Journal ID: ISSN 0370-2693
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; On-shell amplitudes; Galileons; Supersymmetry
Citation Formats
Elvang, Henriette, Hadjiantonis, Marios, Jones, Callum R. T., and Paranjape, Shruti. On the supersymmetrization of Galileon theories in four dimensions. Netherlands: N. p., 2018.
Web. doi:10.1016/j.physletb.2018.04.032.
Elvang, Henriette, Hadjiantonis, Marios, Jones, Callum R. T., & Paranjape, Shruti. On the supersymmetrization of Galileon theories in four dimensions. Netherlands. https://doi.org/10.1016/j.physletb.2018.04.032
Elvang, Henriette, Hadjiantonis, Marios, Jones, Callum R. T., and Paranjape, Shruti. Fri .
"On the supersymmetrization of Galileon theories in four dimensions". Netherlands. https://doi.org/10.1016/j.physletb.2018.04.032.
@article{osti_1434564,
title = {On the supersymmetrization of Galileon theories in four dimensions},
author = {Elvang, Henriette and Hadjiantonis, Marios and Jones, Callum R. T. and Paranjape, Shruti},
abstractNote = {We use on-shell amplitude techniques to study the possible N = 1 supersymmetrizations of Galileon theories in 3 + 1 dimensions, both in the limit of decoupling from DBI and without. Our results are that (1) the quartic Galileon has a supersymmetrization compatible with Galileon shift symmetry (φ → φ + c + bμxμ) for the scalar sector and a constant shift symmetry (ψ → ψ + ξ ) for the fermion sector, and it is unique at least at 6th order in fields, but possibly not beyond; (2) the enhanced “special Galileon” symmetry is incompatible with supersymmetry; (3) there exists a quintic Galileon with a complex scalar preserving Galileon shift symmetry; (4) one cannot supersymmetrize the cubic and quintic Galileon while preserving the Galileon shift symmetry for the complex scalar; and (5) for the quartic and quintic Galileon, we present evidence for a supersymmetrization in which the real Galileon scalar is partnered with an R-axion to form a complex scalar which only has an ordinary shift symmetry.},
doi = {10.1016/j.physletb.2018.04.032},
journal = {Physics Letters. B},
number = C,
volume = 781,
place = {Netherlands},
year = {Fri Jun 01 00:00:00 EDT 2018},
month = {Fri Jun 01 00:00:00 EDT 2018}
}
https://doi.org/10.1016/j.physletb.2018.04.032
Web of Science
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